most citedLow-memory, discrete ordinates, discontinuous Galerkin methods for radiative transport

1 citations · 1 across the 1 of their papers we have counts for

collaborators

11 papers

math.NA2020

Uniform convergence of an upwind discontinuous Galerkin method for solving scaled discrete-ordinate radiative transfer equations with isotropic scattering kernel

Qiwei Sheng, Cory D. Hauck

We present an error analysis for the discontinuous Galerkin method applied to the discrete-ordinate discretization of the steady-state radiative transfer equation. Under some mild…

math.NA2020

Analysis of a new implicit solver for a semiconductor model

Victor P. DeCaria, Cory D. Hauck, M. Paul Laiu

We present and analyze a new iterative solver for implicit discretizations of a simplified Boltzmann-Poisson system. The algorithm builds on recent work that incorporated a sweepin…

math.NA20206 cited

Hybrid Solver for the Radiative Transport Equation Using Finite Volume and Discontinuous Galerkin

Vincent Heningburg, Cory D. Hauck

We propose a hybrid spatial discretization for the radiative transport equation that combines a second-order discontinuous Galerkin (DG) method and a second-order finite volume (FV…

math.NA2019

Ray Effect Mitigation for the Discrete Ordinates Method Using Artificial Scattering

Martin Frank, Jonas Kusch, Thomas Camminady +1

Solving the radiative transfer equation with the discrete ordinates (S) method leads to a non-physical imprint of the chosen quadrature set on the solution. To mitigate these s…

cs.DC2019

A mathematical model of asynchronous data flow in parallel computers

Richard C Barnard, Kai Huang, Cory Hauck

We present a simplified model of data flow on processors in a high performance computing framework involving computations necessitating inter-processor communications. From this or…

math.AP2019

Qualitative Properties of Mathematical Model For Data Flow

C. D. Hauck, M. Herty, G. Visconti

In this paper, properties of a recently proposed mathematical model for data flow in large-scale asynchronous computer systems are analyzed. In particular, the existence of special…